26107138080 has 384 divisors, whose sum is σ = 96311255040. Its totient is φ = 6591974400.

The previous prime is 26107138069. The next prime is 26107138087. The reversal of 26107138080 is 8083170162.

26107138080 is a `hidden beast` number, since 2 + 610 + 7 + 1 + 38 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (26107138087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10232805 + ... + 10235355.

It is an arithmetic number, because the mean of its divisors is an integer number (250810560).

Almost surely, 2^26107138080 is an apocalyptic number.

26107138080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26107138080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48155627520).

26107138080 is an abundant number, since it is smaller than the sum of its proper divisors (70204116960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26107138080 is a wasteful number, since it uses less digits than its factorization.

26107138080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

It can be divided in two parts, 261071 and 38080, that added together give a triangular number (299151 = T₇₇₃).

The spelling of 26107138080 in words is "twenty-six billion, one hundred seven million, one hundred thirty-eight thousand, eighty".